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Congruences on a Distributive Lattice

Published online by Cambridge University Press:  20 January 2009

H. A. Thueston
H. A. Thueston
Affiliation:
The University, Bristol.
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Among the many papers on the subject of lattices I have not seen any simple discussion of the congruences on a distributive lattice. It is the purpose of this note to give such a discussion for lattices with a certain finiteness. Any distributive lattice is isomorphic with a ring of sets (G. Birkhoff, Lattice Theory, revised edition, 1948, p. 140, corollary to Theorem 6); I take the case where the sets are finite. All finite distributive lattices are covered by this case.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 10 , Issue 2 , December 1954 , pp. 76 - 77
Copyright
Copyright © Edinburgh Mathematical Society 1954